Multiply and simplify. (1 + tan ß)² (1 | + tan ß)² = [ (Simplify your answer.)

Q: a. b. C. Evaluate the following double integrals: (2xy + 3y²)dydx (r)drde (e-²) dydx (Changing the…

A: We need to evaluate the given double integrals. Please see below fora detailed answer.

Q: Solve the initial value problem: y(x) = 0. dy da + 3y = 7, y(0) = 0

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Q: Find all the zeros. Write the answer in exact form. 2 v(x)=x²³ −5x² + 4x+6 If there is more than one…

A: Find out the zeroes of the polynomial.

Q: Consider an exchange economy with 2 consumers, A and B, and 2 commodities, x and y. Each consumer is…

A: Multiple subparts are asked, I am answering first 3

Q: Find the general solution, y(t), which solves the problem below, by the method of integrating…

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Q: (a) Give the linearization L(x) of f(x) at x = 2. (b) Use your answer from Part (a) to estimate the…

A: Solve the following

Q: Find the average value gave of the function g on the given interval. 9 ave 11 g(t) = t √8+2² 8 + t…

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Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 400t dollars per day…

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Q: Solve the initial value problem y" — 2y' — 15y = 0, y(0) = a, y'(0) = −9. Find a so that the…

A: Given: y''-2y'-15y=0, y(0)=α, y'(0)=-9

Q: • Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

A: The objective of the question is determine the orthogonal curve for the given curve.

Q: Use the remainder theorem to evaluate the polynomial for the given values of x. g(x)=6x³-7x²-36x+42…

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Q: 16. M8 Σ n=1 –3η + 1 2n + 3 4η

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Q: Use the formula for instantaneous rate of change, approximating the limit by using smaller and…

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Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 20y = 100x² - 91xex…

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Q: At which octant will you find (-8, 13, -1/2)?

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Q: Question 1 [3 a) { exact: 1: Verify that the differential equation is (cos(x)+2x + y)dx+(−…

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Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

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Q: 3

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Q: given u = and v= find u*v

A: To find out the dot product u*v

Q: 1. Find the second-order prediction error filter and the prediction error variance for the random…

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Q: Show your complete solution: Evaluate the triple integral ㅠ pxy 2 L x 0 COS Zdzdydx X

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Q: Rewrite the following equation with the variables separated. 3√t + y² dy = 6 dt o y² dy = (6 + 3√t)…

A: Please see the below picture for detailed solution.

Q: Find the arc length of the graph of y == 6 2x on the interval 2 L2

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Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros…

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Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x +…

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Q: If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what…

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: f" s [0, π]. Also, find the smallest value of x at which the average value occurs. Given that sin…

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Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: 013 Verify that the function satisfies the two hypotheses of Mean Value Theorem on the given…

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Q: Given that S." sin xdx = 2, find the average value of the sine function on the interval [0, π].…

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Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

A: topic - differential equation

Q: 2x + 2 6x³ +5x² - 4x y = 3

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Q: At how many points do the curves r₁(t) = ((t + 1)², — t² − 2t, t+2) and r₂(t) = (1 – t², t, t) -…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: given u= and v= find uXv

A: To solve the following problem

Q: Evaluate 1) |x-2| dx

A: To find out the integration.

Q: Find the definite integral that will compute for the area of the region bounded by y = ex, y = 0, x…

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Q: Find all points where the function is discontinuous. Ox=1 O None O x = -2 Ox= -2, x = 1 →→x

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or sin(8n) Σ 47 n =…

A: We will use Ratio-Test to find convergence

Q: -1 xp(x + 1)zz² J

A: The given integral,        ∫-11e2x1+xdx

Q: find the area of the triangel with verticies A=(0,0,0) B=(2,1,1) C=(3,1,2) round to 2…

A: This question can be solved using the concept of area of triangle using vectors.

Q: Find the derivative of y with respect to the independent variable. y = 2ln 2t 2 In 2 t OB. 2In 2t In…

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Q: p = 3 csc()csc (0)

A: find an equation in rectangular coordinates for the EQUATION GIVEN IN SPHERICAL COORDINATES  p=…

Q: Find the volume of the solid generated by revolving the region bounded by the curves 3π y = sin x +…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves…

Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(z² + y²) dA…

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Q: Find the particular solution of the differential equation given that, when x = 0, y =-4 and Q3 *…

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Q: Let h(x)=f(x)g(x) where f(x)=−3x2+4x−1 and g(x)=−x2+4x+3. What is h′(4)? Do not include "h′(4)=" in…

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Q: Choose the gradient of the function f defined by f(x, y, z)= In[1 + (7xy + 13xz + 17yz)²]. O…

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Q: surveyor standing 57 meters from the base of a building measures the angle to the top of the…

A: distance between surveyor  and building is 57 meter angle with building top = 38 angle with top of…